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4
Select the correct answer.
Function his a transformation of the parent exponential function, /(*) = 2*,
h(x) = -3.2"
Which statement is true?
A. Function h is a vertical translation of function /
OB.
Function h is a horizontal translation of function /
C.
Function h is a reflection and a dilation of function
OD.
Function his a reflection and a translation of function /

4 Select the correct answer Function his a transformation of the parent exponential function 2 hx 32 Which statement is true A Function h is a vertical translat class=

Respuesta :

The transformation of a function may involve any change. The correct option is D.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
  • Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

  • Up by d units: y = f(x) + d
  • Down by d units: y = f(x) - d

Stretching:

  • Vertical stretch by a factor k: y = k \times f(x)
  • Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.

Learn more about Transforming functions:

https://brainly.com/question/17006186

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